How many strings are there using the letters of the word INTERMEDIATE, if
Q The vowels and consonants are alternative.

How many strings are there using the letters of the word INTERMEDIATE, if Q The vowels and consonants are alternative.

How many strings are there using the letters of the word INTERMEDIATE, if Q All the vowels are together.

How many strings are there using the letters of the word INTERMEDIATE, if Q Vowels are never together.

How many new words can be formed using all the letters of the word 'MEDITERRANEAN', if vowels and consonants occupy the same relative positions ?